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We consider the interaction between two rods embedded in a fluctuating surface which is governed by either surface tension or rigidity. The modification of fluctuations by the rods leads to an attractive long-range interaction that falls…

Condensed Matter · Physics 2016-08-31 R. Golestanian , M. Goulian , M. Kardar

Interfaces moving in a disordered medium exhibit stochastic velocity fluctuations obeying universal scaling relations related to the presence or absence of conservation laws. For fluid invasion of porous media, we show that the fluctuations…

Disordered Systems and Neural Networks · Physics 2009-11-11 Martin Rost , Lasse Laurson , Martin Dube , Mikko Alava

We present a numerical scheme for simulating the dynamics of Brownian particles suspended in a fluid. The motion of the particles is tracked by the Langevin equation, whereas the host fluid flow is analyzed by using the lattice Boltzmann…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Hiroaki Yoshida , Tomoyuki Kinjo , Hitoshi Washizu

Two interaction mechanisms of particles in a fluid are proposed on base of forces, mediated by hydrodynamic thermal fluctuations. The first one is similar to the conventional van der Waals interaction, but instead of been mediated by…

Soft Condensed Matter · Physics 2009-11-07 B. I. Ivlev

We consider the motion of a overdamped Brownian particle in periodic asymmetric potential with space dependent friction coefficient. In the presence of external time periodic forcing, the system shows multiple current reversals on varying…

Statistical Mechanics · Physics 2007-05-23 Debasis Dan , A. M. Jayannavar , Mangal C. Mahato

Dynamical instrument limitations, such as finite detection bandwidth, do not simply add statistical errors to fluctuation measurements, but can create significant systematic biases that affect the measurement of steady-state properties.…

Biological Physics · Physics 2010-01-18 Wesley P. Wong , Ken Halvorsen

An alternative derivation of Brownian motion is presented. Instead of supplementing the linearized Navier-Stokes equation with a fluctuating force, we directly assume a Gaussian action functional for solvent velocity fluctuations. Solvating…

Statistical Mechanics · Physics 2013-07-24 Thomas Speck

We study the rotational motion of nano-flake ferromagnetic discs suspended in a Newtonian fluid, as a potential material owing the vortex-like magnetic configuration. Using analytical expressions for hydrodynamic, magnetic and Brownian…

We study the dynamics of elastic interfaces-membranes-immersed in thermally excited fluids. The work contains three components: the development of a numerical method, a purely theoretical approach, and numerical simulation. In developing a…

Soft Condensed Matter · Physics 2009-10-31 Davide Stelitano , Daniel H. Rothman

An object moving through a plane interface into a fluid deforms the interface in such a way that fluid from one side of the interface is entrained into the other side, a phenomenon known as Darwin's drift. We investigate this phenomenon…

Fluid Dynamics · Physics 2016-07-06 Ivo R. Peters , Matteo Madonia , Detlef Lohse , Devaraj van der Meer

We consider the mixing of a viscous fluid by the rotation of a pitched blade turbine inside an open, cylindrical tank, with air as the lighter fluid above. To examine the flow and interfacial dynamics, we utilise a highly-parallelised…

We study surface modes of the condensate in the presence of a rotating thermal cloud in an axisymmetric trap. By considering collisions that transfer atoms between the condensate and noncondensate, we find that modes which rotate in the…

Condensed Matter · Physics 2009-11-07 J. E. Williams , E. Zaremba , B. Jackson , T. Nikuni , A. Griffin

We study an inertial Brownian particle moving in a symmetric periodic substrate, driven by a zero-mean biharmonic force and correlated thermal noise. The Brownian motion is described in terms of a Generalized Langevin Equation with an…

Statistical Mechanics · Physics 2010-10-19 Lukasz Machura , Jerzy Luczka

In this article, we introduce Brownian motion on stable looptrees using resistance techniques. We prove an invariance principle characterising it as the scaling limit of random walks on discrete looptrees, and prove precise local and global…

Probability · Mathematics 2020-12-15 Eleanor Archer

The paper is devoted to the problem of the determination of regular and thermal forces acting on microscopic and smaller objects in fluids. One of the methods how regular forces are determined is the measurement of the drift velocity of…

Statistical Mechanics · Physics 2012-02-21 Jana Tothova , Lukas Glod , Gabriela Vasziova , Vladimir Lisy

We derive generalized Langevin equations for the translational and rotational motion of a heated Brownian particle from the fluctuating hydrodynamics of its non-isothermal solvent. The temperature gradient around the particle couples to the…

Statistical Mechanics · Physics 2014-10-01 G. Falasco , M. V. Gnann , D. Rings , K. Kroy

Measurements of the surface diffusivity of colloidal spheres translating along a vapor/liquid inter- face show an unexpected decrease in diffusivity, or increase in surface drag (from the Stokes-Einstein relation) when the particles situate…

Soft Condensed Matter · Physics 2016-07-08 Joel Koplik , Charles Maldarelli

The condition of thermal equilibrium simplifies the theoretical treatment of fluctuations as found in the celebrated Einstein's relation between mobility and diffusivity for Brownian motion. Several recent theories relax the hypothesis of…

Statistical Mechanics · Physics 2014-04-10 Andrea Gnoli , Andrea Puglisi , Alessandro Sarracino , Angelo Vulpiani

This work focuses on the response to an external field of a Brownian particle submerged in an Ohmic quantum thermal bath. The field only affects the dynamics of the central particle without affecting the thermal reservoir. The thermodynamic…

Quantum Physics · Physics 2019-11-12 Pedro J. Colmenares

We analyze the dynamics of a tracer particle embedded in a bath of hard spheres confined in a channel of varying section. By means of Brownian dynamics simulations we apply a constant force on the tracer particle and discuss the dependence…

Soft Condensed Matter · Physics 2018-11-14 Antonio M. Puertas , Paolo Malgaretti , Ignacio Pagonabarraga